Least Common Multiple of 254 and 261

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 254 and 261 the smallest integer that is 66294 that is divisible by both numbers.

Least Common Multiple (LCM) of 254 and 261 is 66294.

LCM(254,261) = 66294

LCM of 254 and 261

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 254 and 261

LCM of 254 and 261 is 66294

Least common multiple can be found by multiplying the highest exponent prime factors of 254 and 261. First we will calculate the prime factors of 254 and 261.

Prime Factorization of 254


2 254
127 127
1

Prime factors of 254 are 2,127. Prime factorization of 254 in exponential form is:

254 = 21×1271

Prime Factorization of 261


3 261
3 87
29 29
1

Prime factors of 261 are 3,29. Prime factorization of 261 in exponential form is:

261 = 32×291

Now multiplying the highest exponent prime factors to calculate the LCM of 254 and 261.

LCM(254,261) = 21×32×291×1271
LCM(254,261) = 66294

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Factors of 261

List of positive integer factors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Least Common Multiple of 254 and 261 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 254 and 261, than apply into the LCM equation.

GCF(254,261) = 1
LCM(254,261) = ( 254 × 261) / 1
LCM(254,261) = 66294 / 1
LCM(254,261) = 66294

Properties of LCM 254 and 261

(i) The LCM of 261 and 254 is associative

LCM of 254 and 261 = LCM of 261 and 254

Related Least Common Multiples of 254

Related Least Common Multiples of 261

Frequently Asked Questions on LCM of 254 and 261

1. What is the LCM of 254 and 261?

Answer: LCM of 254 and 261 is 66294.

2. What are the Factors of 254?

Answer: Factors of 254 are 1, 2, 127, 254. There are 4 integers that are factors of 254. The greatest factor of 254 is 254.

3. What are the Factors of 261?

Answer: Factors of 261 are 1, 3, 9, 29, 87, 261. There are 6 integers that are factors of 261. The greatest factor of 261 is 261.

4. How to Find the LCM of 254 and 261?

Answer:

Least Common Multiple of 254 and 261 = 66294

Step 1: Find the prime factorization of 254

254 = 2 x 127

Step 2: Find the prime factorization of 261

261 = 3 x 3 x 29

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 66294 = 2 x 3 x 3 x 29 x 127

Step 4: Therefore, the least common multiple of 254 and 261 is 66294.